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Finding the Fourth Proportional to 2,473.81, 3,414.15 and 1,530.23

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Solution

The fourth proportional to 2,473.81, 3,414.15 and 1,530.23 is: 2,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.81 : 3,414.15 = 1,530.23 : x
  2. Step 2: Convert to fraction form
    2,473.81/3,414.15 = 1,530.23/x
  3. Step 3: Cross multiply
    2,473.81x = 3,414.15 × 1,530.23
  4. Step 4: Simplify right side
    2,473.81x = 5,224,417.68
  5. Step 5: Solve for x
    x = 5,224,417.68/2,473.81
  6. Step 6: Final answer
    x = 2,111.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.